32. Вычислите: $4:\frac{20}{23}+2\frac{4}{15}\cdot\left(\frac{2}{7}-4\frac{11}{14}\right)$.

Question

$Фото задания: 32. Вычислите: $4:\frac{20}{23}+2\frac{4}{15}\cdot\left(\frac{2}{7}-4\frac{11}{14}\right)$.$ Фото задания

Accepted Answer

\[4:\frac{20}{23}=\frac{23}{5},\qquad \frac{2}{7}-4\frac{11}{14}=-\frac{9}{2}.\]

\[2\frac{4}{15}\cdot\left(-\frac{9}{2}\right)=\frac{34}{15}\cdot\left(-\frac{9}{2}\right)=-\frac{51}{5}.\]

\[\frac{23}{5}-\frac{51}{5}=-\frac{28}{5}.\]

Ответ: $-\frac{28}{5}$.

32. Вычислите: \(4:\frac{20}{23}+2\frac{4}{15}\cdot\left(\frac{2}{7}-4\frac{11}{14}\right)\).